Conservation of Linear Momentum

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Homework Statement



There is a ball that's going 45 m/sec and it's hitting the ground at an 80 degree angle, but when it bounces off, it has a 58 degree angle. The coefficient of restitution is not known.


Homework Equations





The Attempt at a Solution



I'm just wondering, but is the x-component of the velocity the same before the collision as afterwards if the x-axis is the ground?
 
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With negligible air resistance, I'd say yes.